_ 0 ^ x (1+x) (1+x^ 2 ) d x

Mathematics · JEE Advanced · NTA ExamsIntegral Calculus

\(\int_{0}^{\infty} \frac{x}{(1+x)\left(1+x^{2}\right)} d x\)
  1. \(\pi / 4\)
  2. \(\pi / 2\)
  3. is same as \(\int_{0}^{\infty} \frac{d x}{(1+x)\left(1+x^{2}\right)}\)
  4. cannot be evaluated

Answer

(A) / 4, (C) is same as _ 0 ^ d x (1+x) (1+x^ 2 )

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